Title Recent Developments in Quantum Affine Algebras and Related Topics

Published Providence : American Mathematical Society, 1999

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Description 1 online resource (482 pages) Series Contemporary Mathematics ; v. 248 Contemporary Mathematics Contents Contents -- Preface -- The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras -- A note on embeddings of some Lie algebras defined by matrices -- Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators -- Monomial bases of quantized enveloping algebras -- Quantized W-algebra of sl(2, 1): A construction from the quantization of screening operators -- Affine algebras and non-perturbative symmetries in superstring theory Automorphism groups and twisted modules for lattice vertex operator algebrasTruncated meanders -- The q-characters of representations of quantum affine algebras and deformations of W-algebras -- Melzer's identities revisited -- Automorphisms of lattice type vertex operator algebras and variations, a survey -- Remarks on fermionic formula -- q-vertex operators for quantum affine algebras -- Homology of certain truncated Lie algebras -- Vertex operator algebras and the zeta function -- On Z-graded associative algebras and their N-graded modules An A-form technique of quantum deformationsDeterminant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with | = 1 -- Functorial properties of the hypergeometric map -- Polyhedral realizations of crystal bases and braid-type isomorphisms -- Meromorphic tensor categories, quantum affine and chiral algebras I -- Dual pairs and infinite dimensional Lie algebras Bibliography Includes bibliographical references Notes English Print version record Subject Representations of Lie algebras -- Congresses Affine algebraic groups -- Congresses Representations of quantum groups -- Congresses Representations of algebras -- Congresses Affine algebraic groups. Representations of algebras. Representations of Lie algebras. Representations of quantum groups. Genre/Form Conference papers and proceedings. Form Electronic book Author Misra, Kailash C ISBN 0821811991 9780821811993 9780821878385 0821878387

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 248 Recent developments in quantum affine algebras and related topics: representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998

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